This article is cited in 2 papers

Short Communications

On sample continuity of random fields

V. V. Yurinskii

Moscow

Abstract: Theorems 1 gives sufficient conditions for sample continuity of stochastic processes with multidimensional time parameter. Its proof uses a corollary of Sobolev's imbeding theorems, Theorem 2, and a technique of diodic expansions fairly common in proofs of sample continuity.

Received: 27.03.1972

 English version: Theory of Probability and its Applications, 1974, 18:3, 602–607

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